Application of Current Algebra in Three Pseudoscalar Meson Decays of $τ$ Lepton

Details Application of Current Algebra in Three Pseudoscalar Meson Decays of $τ$ Lepton Application of Current Algebra in Three Pseudoscalar Meson Decays of $τ$ Lepton

1994-11-29

arxiv.org/abs/hep-ph/9411424v1

Phys.Lett. B344 (1995) 419-429

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, Tex, 6 included figures

Scientific paper

10.1016/0370-2693(94)01544-M

The decays of $\tau \to 3\pi \nu $ and $\tau \to \pi K^{*} \nu, K\rho \nu $ are calculated using the hard pion and kaon current algebra and assuming the Axial-Vector meson dominance of the hadronic axial currents. Using the experimental data on their masses and widths, the $\tau$ decay branching ratios into these channels are calculated and found to be in a reasonable agreement with the experimental data. In particular, using the available Aleph data on the $3\pi$ spectrum, we determine the $A_1$ parameters, $m_A=1.24\pm 0.02 GeV$, $\Gamma _A=0.43\pm 0.02$ GeV; the hard current algebra calculation yields a $3\pi$ branching ratio of $19 \pm 3 \%$.

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